108282132 has 144 divisors (see below), whose sum is σ = 328753152. Its totient is φ = 29401920.

The previous prime is 108282131. The next prime is 108282133. The reversal of 108282132 is 231282801.

108282132 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (108282131) and next prime (108282133).

It is a super-2 number, since 2×108282132² = 23450040220930848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108282096 and 108282105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108282131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648313 + ... + 648479.

It is an arithmetic number, because the mean of its divisors is an integer number (2283008).

Almost surely, 2^108282132 is an apocalyptic number.

108282132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108282132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

108282132 is an abundant number, since it is smaller than the sum of its proper divisors (220471020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108282132 is a wasteful number, since it uses less digits than its factorization.

108282132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108282132 is about 10405.8700741457. The cubic root of 108282132 is about 476.6346370858.

The spelling of 108282132 in words is "one hundred eight million, two hundred eighty-two thousand, one hundred thirty-two".